Diane Interior Design Selections purchases two products for resale: big tables (B) and medium tables (M). Each big table costs $500 and requires 100 cubic feet of storage space, and each medium table costs $300 and requires 90 cubic feet of storage space. The company has $75,000 to invest in tables this week, and the warehouse has 18,000 cubic feet available for storage. Profit for each big table is $300 and for each medium table is $150

 i. Formulate the model for this problem.

 ii. Plot the graph of the model

 iii. From the plot, determine the following:

a. The maximum profit.

b. The optimal mix of big (B) and medium (M) tables that should be purchased.

iv. How are the optimal solution and profit affected by a $5,000 change in the budget?